Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points
We show that for periodic non-autonomous discrete dynamical systems, even when a common fixed point for each of the autonomous associated dynamical systems is repeller, this fixed point can became a local attractor for the whole system, giving rise to a Parrondo's dynamic type paradox
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/112706 |
| Acceso en línea: | https://hdl.handle.net/2117/112706 https://dx.doi.org/10.3934/dcds.2018038 |
| Access Level: | acceso abierto |
| Palabra clave: | Dinamics Differentiable dynamical systems Periodic discrete systems Non-hyperbolic points Local and global stability Parrondo's dynamic paradox Dinàmica Sistemes dinàmics diferenciables Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory Classificació AMS::39 Difference and functional equations::39A Difference equations Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics |
| Sumario: | We show that for periodic non-autonomous discrete dynamical systems, even when a common fixed point for each of the autonomous associated dynamical systems is repeller, this fixed point can became a local attractor for the whole system, giving rise to a Parrondo's dynamic type paradox |
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